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Finding the Third Proportional to 2,213,149.50 and 4,564,323

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Solution

The third proportional to 2,213,149.50 and 4,564,323 is: 9,413,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213,149.50 : 4,564,323 = 4,564,323 : x
  2. Step 2: Convert to fraction form
    2,213,149.50/4,564,323 = 4,564,323/x
  3. Step 3: Cross multiply
    2,213,149.50x = 4,564,323 × 4,564,323
  4. Step 4: Simplify right side
    2,213,149.50x = 20,833,044,448,329
  5. Step 5: Solve for x
    x = 20,833,044,448,329/2,213,149.50
  6. Step 6: Final answer
    x = 9,413,301.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.